# Dynamics Seminar by James MacLaurin (New Jersey Institute of Technology) on June 19

On Wednesday the 19th of June, James MacLaurin (New Jersey Institute of Technology and ACDC visitor) will give an Amsterdam Dynamics seminar.

The talk will take place in the Maryam seminar room (9A-46) at **11 am (please note the time, which is different than usual). **

**Title: **From puffs to waves: stochastic calcium dynamics

**Abstract: ** In this seminar I provide a brief introduction to methods for analysing high dimensional interacting particle systems. Broadly speaking, these are systems of N particles, whose probability law is exchangeable (any permutation of the indices does not affect the probability law). The interaction is typically `mean field’ (each particle feels the average of all of the other ones). I briefly outline the classical work by Sznitman determined the asymptotic limit (as N goes to infinity) of the population density. I will also briefly discuss the central limit theorem (for characterising the fluctuations of the dynamics about the limit), and Large Deviations Theory, for estimating the asymptotic probability of rare events.